C. A. Bouman: digital Image bear upon - January 7, 2007 1 Types of steganography acknowledgment cryptanalysis - statute entropy to more ef?ciently represent the info rationalises size of it of in attaination Analog - Encode latitude mention data into a binary format digital - Reduce the size of digital source data Channel Coding - Code data for transmition over a noisy dialogue channel Increases size of data digital - add circumlocution to identify and remedy errors Analog - represent digital set by analog signals Complete Information Theory was develop by Claude Shannon C. A. Bouman: Digital Image touch on - January 7, 2007 2 Digital Image Coding Images from a 6 MPixel digital cammera be 18 MBytes each Input and outfit images are digital Output image must be littler (i.e. ? 500 kBytes) This is a digital source steganography problem C. A. Bouman: Digital Image Processing - January 7, 2007 3 Two Types of Source (Image) Codi ng lossless code (entropy cryptanalysis) Data can be decoded to form on the nose the same bits use in zippo flock solely achieve moderate crush (e.g. 2:1 3:1) for natural images Can be valuable in definite applications much(prenominal) as medical resourcefulness Lossly source coding Decompressed image is visually similar, but has been changed Used in JPEG and MPEG Can achieve much greater compression (e.g.

20:1 40:1) for natural images Uses entropy coding C. A. Bouman: Digital Image Processing - January 7, 2007 4 Entropy allow X be a stochastic variables pickings determine in the pin down {0, · · · , M ? 1} such that pi = P {X = ! i} Then we de?ne the entropy of X as H(X) = ? M ?1 i=0 pi log2 pi = ?E [log2 pX ] H(X) has units of bits C. A. Bouman: Digital Image Processing - January 7, 2007 5 Conditional Entropy and reciprocal Information Let (X, Y ) be a random variables taking values in the set {0, · · · , M ? 1}2 such that p(i, j) = P {X = i, Y = j} p(i|j) = p(i, j) M ?1 k=0 p(k, j) M ?1 M ?1 i=0 j=0 Then...If you want to get a full essay, rate it on our website:
OrderCustomPaper.comIf you want to get a full essay, visit our page: write my paper
No comments:
Post a Comment